Information on Result #703501
Linear OA(3125, 282, F3, 37) (dual of [282, 157, 38]-code), using construction XX applied to C1 = C([121,151]), C2 = C([115,145]), C3 = C1 + C2 = C([121,145]), and C∩ = C1 ∩ C2 = C([115,151]) based on
- linear OA(391, 242, F3, 31) (dual of [242, 151, 32]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {121,122,…,151}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3101, 242, F3, 31) (dual of [242, 141, 32]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {115,116,…,145}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3111, 242, F3, 37) (dual of [242, 131, 38]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {115,116,…,151}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(381, 242, F3, 25) (dual of [242, 161, 26]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {121,122,…,145}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3124, 281, F3, 36) (dual of [281, 157, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(3125, 141, F3, 2, 37) (dual of [(141, 2), 157, 38]-NRT-code) | [i] | OOA Folding | |